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Finding the Third Proportional to 140,871 and 293,388

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Solution

The third proportional to 140,871 and 293,388 is: 611,030.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,871 : 293,388 = 293,388 : x
  2. Step 2: Convert to fraction form
    140,871/293,388 = 293,388/x
  3. Step 3: Cross multiply
    140,871x = 293,388 × 293,388
  4. Step 4: Simplify right side
    140,871x = 86,076,518,544
  5. Step 5: Solve for x
    x = 86,076,518,544/140,871
  6. Step 6: Final answer
    x = 611,030.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.